Industry experts explain how the rise of quantum computing threatens Bitcoin and what should be done to prevent this.

The elliptic curve discrete logarithm problem (ECDLP) lies at the heart of modern public-key cryptography. It concerns the challenge of determining an unknown scalar multiplier given two points on an ...

Taproot could be used to "hide" quantum safe spending conditions inside Bitcoin UTXOs to deal with the risk of quantum ...

This is a preview. Log in through your library . Abstract Computing discrete logarithms in finite fields is a main concern in cryptography. The best algorithms in large and medium characteristic ...

A logarithm is the power which a certain number is raised to get another number. Before calculators and various types of complex computers were invented it was difficult for scientists and ...

Consider an urn model where at each step one of q colors is sampled according to some probability distribution and a ball of that color is placed in an urn. The distribution of assigning balls to urns ...

The asymmetric cryptography on which so much security on the Internet is based relies on one of two mathematical assumptions to work: that it is impossible, other than through brute force, to ...

A logarithm is a mathematical operation that determines how many times a certain number, called the base, is multiplied by itself to reach another number. Because logarithms relate geometric ...